Estimate Powers and Roots

Estimate the powers and roots of the given positive numbers.

Instructions

Try your best to answer the questions above. Type your answers into
the boxes provided leaving no spaces. As you work through the exercise regularly click
the "check" button. If you have any wrong answers, do your best to
do corrections but if there is anything you don't understand, please
ask your teacher for help.

When you have
got all of the questions correct you may want to print out this page
and paste it into your exercise book. If you keep your work in an
ePortfolio you could take a screen shot of your answers and paste
that into your Maths file.

Transum.org

This web site
contains over a thousand free mathematical activities for teachers and
pupils. Click here to go to the
main page which links to all of the resources available.

More Activities:

Mathematicians are not the people who find Maths easy; they are the people who enjoy how mystifying, puzzling and hard it is. Are you a mathematician?

Comment recorded on the 9 April 'Starter of the Day' page by Jan, South Canterbury:

"Thank you for sharing such a great resource. I was about to try and get together a bank of starters but time is always required elsewhere, so thank you."

Comment recorded on the 6 May 'Starter of the Day' page by Natalie, London:

"I am thankful for providing such wonderful starters. They are of immence help and the students enjoy them very much. These starters have saved my time and have made my lessons enjoyable."

Featured Activity

Strategy Games

We have collected together lots of strategy games for you to enjoy. Many of them have mathematical principles involved in their design so would make a good activity for a Mathematics lesson.

Numeracy

"Numeracy is a
proficiency which is developed mainly in Mathematics but also in
other subjects. It is more than an ability to do basic arithmetic.
It involves developing confidence and competence with numbers and
measures. It requires understanding of the number system, a
repertoire of mathematical techniques, and an inclination and
ability to solve quantitative or spatial problems in a range of
contexts. Numeracy also demands understanding of the ways in which
data are gathered by counting and measuring, and presented in
graphs, diagrams, charts and tables."

Secondary National Strategy, Mathematics at key stage 3

Go Maths

Learning and
understanding Mathematics, at every level, requires learner
engagement. Mathematics is not a spectator sport. Sometimes
traditional teaching fails to actively involve students. One way to
address the problem is through the use of interactive activities and
this web site provides many of those.
The Go Maths page is
an alphabetical list of free activities designed for students in Secondary/High school.

Maths Map

Are you looking for something specific? An exercise to supplement the topic you are studying at school at the moment perhaps. Navigate using our Maths Map to find exercises, puzzles and Maths lesson starters grouped by topic.

Teachers

If you found this activity useful don't forget to record it in your scheme of work or learning management system. The short URL, ready to be copied and pasted, is as follows:

Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world.
Click here to enter your comments.

You may also want to use a calculator to check your working. See Calculator Workout skill 6.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

Example

This video is from Khan Academy.

You may also want to use a calculator to check your working. See Calculator Workout skill 5.

Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly. You can double-click the 'Check' button to make it float at the bottom of your screen.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.